document.write( "Question 626840: 1/5 number of butterflies in agarden are on jasmines and 1/3 of them are on roses.Three times the difference of the butterfllies o jasmines and are on roses are on lillies.If the remaining one is flying frely,then find the total number of butterflies in the garden \n" ); document.write( "

Algebra.Com's Answer #394486 by KMST(5398) $\"\"$ $\"About$

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Let $\"x\"$ be the total number of butterflies in the garden.
\n" ); document.write( " $\"%281%2F5%29x\"$ butterflies are on jasmines.
\n" ); document.write( " $\"%281%2F3%29x\"$ butterflies (a larger number) are on roses.
\n" ); document.write( "The difference is
\n" ); document.write( " $\"%281%2F3%29x-%281%2F5%29x=%281%2F3-1%2F5%29x=%285%2F15-3%2F15%29x=%282%2F15%29x\"$
\n" ); document.write( "Three times that difference,
\n" ); document.write( " $\"3%2A%282%2F15%29x=%282%2F5%29x\"$ ,
\n" ); document.write( "is the number of butterflies on lilies.
\n" ); document.write( "The total number is
\n" ); document.write( " $\"x=%281%2F3%29x%2B%281%2F5%29x%2B%282%2F5%29x%2B1\"$ --> $\"x=%281%2F3%2B1%2F5%2B2%2F5%29x%2B1\"$ --> $\"x=%285%2F15%2B3%2F15%2B6%2F15%29x%2B1\"$ --> $\"x=%2814%2F15%29x%2B1\"$
\n" ); document.write( "Multiplying both sides of the equal sign times 15:
\n" ); document.write( " $\"15x=15%28%2814%2F15%29x%2B1%29\"$ --> $\"15x=14x%2B15\"$
\n" ); document.write( "Subtracting 14x from both sides of the equal sign:
\n" ); document.write( " $\"15x=14x%2B15\"$ --> $\"15x-14x=14x%2B15-14x\"$ --> $\"highlight%28x=15%29\"$ \n" ); document.write( "

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